detailed balance principle
E267413
The detailed balance principle is a thermodynamic concept stating that, at equilibrium, every microscopic process is exactly balanced by its reverse process, ensuring no net change in the system’s macroscopic state.
All labels observed (1)
| Label | Occurrences |
|---|---|
| detailed balance principle canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2443015 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: detailed balance principle Context triple: [Shockley–Queisser limit, isBasedOn, detailed balance principle]
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A.
d’Alembert’s principle
d’Alembert’s principle is a fundamental concept in classical mechanics that reformulates Newton’s laws to analyze the motion of systems by introducing inertial forces so they can be treated as if in static equilibrium.
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B.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
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C.
The Principles of Statistical Mechanics
The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
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D.
fluctuation–dissipation theorem
The fluctuation–dissipation theorem is a fundamental principle in statistical physics that links the random microscopic fluctuations in a system at thermal equilibrium to its macroscopic response to external perturbations.
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E.
Boltzmann–Gibbs entropy in statistical mechanics
Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: detailed balance principle Target entity description: The detailed balance principle is a thermodynamic concept stating that, at equilibrium, every microscopic process is exactly balanced by its reverse process, ensuring no net change in the system’s macroscopic state.
-
A.
d’Alembert’s principle
d’Alembert’s principle is a fundamental concept in classical mechanics that reformulates Newton’s laws to analyze the motion of systems by introducing inertial forces so they can be treated as if in static equilibrium.
-
B.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
-
C.
The Principles of Statistical Mechanics
The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
-
D.
fluctuation–dissipation theorem
The fluctuation–dissipation theorem is a fundamental principle in statistical physics that links the random microscopic fluctuations in a system at thermal equilibrium to its macroscopic response to external perturbations.
-
E.
Boltzmann–Gibbs entropy in statistical mechanics
Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
concept in statistical mechanics
ⓘ
thermodynamic principle ⓘ |
| appliesTo |
microscopic processes
ⓘ
reversible Markov chains ⓘ systems in thermodynamic equilibrium ⓘ |
| assumes |
existence of equilibrium state
ⓘ
reversibility of microscopic dynamics ⓘ |
| category |
physical law
ⓘ
probabilistic constraint on dynamics ⓘ |
| conditionType | microscopic reversibility condition ⓘ |
| contrastsWith | global balance condition ⓘ |
| coreIdea | each microscopic process is balanced by its reverse at equilibrium ⓘ |
| describes | balance of microscopic transition probabilities at equilibrium ⓘ |
| ensures |
no net macroscopic change in equilibrium state
ⓘ
no net probability current between microstates at equilibrium ⓘ time-reversal symmetry at equilibrium for many systems ⓘ |
| field |
Markov processes
ⓘ
chemical kinetics ⓘ statistical mechanics ⓘ thermodynamics ⓘ |
| goalInMCMC | to make target distribution invariant under Markov chain transitions ⓘ |
| historicalOrigin | early 20th century development of kinetic theory and statistical mechanics ⓘ |
| holdsWhen | system is closed and isolated long enough to reach equilibrium ⓘ |
| implies |
Boltzmann distribution for systems in canonical ensemble
ⓘ
stationary distribution of microstates ⓘ |
| mathematicalForm | π(i) P(i→j) = π(j) P(j→i) for all states i,j at equilibrium ⓘ |
| mayFailWhen |
in presence of external fields driving steady currents
ⓘ
system is driven far from equilibrium ⓘ time-reversal symmetry is broken ⓘ |
| relatedConcept |
Boltzmann distribution
ⓘ
Markov chain reversibility ⓘ Onsager reciprocal relations ⓘ equilibrium statistical mechanics ⓘ microscopic reversibility ⓘ |
| relates | forward transition rates and reverse transition rates ⓘ |
| usedIn |
Gibbs sampling
ⓘ
Metropolis algorithm ⓘ
surface form:
Metropolis–Hastings algorithm
construction of Markov Chain Monte Carlo algorithms ⓘ derivation of Boltzmann equation ⓘ derivation of rate equations in chemical kinetics ⓘ kinetic theory of gases ⓘ radiative transfer theory ⓘ reaction network theory ⓘ semiconductor physics ⓘ |
| usedToDerive |
Einstein relations in some transport processes
ⓘ
equilibrium relations between reaction rate constants ⓘ |
How these facts were elicited
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Subject: detailed balance principle Description of subject: The detailed balance principle is a thermodynamic concept stating that, at equilibrium, every microscopic process is exactly balanced by its reverse process, ensuring no net change in the system’s macroscopic state.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.